Inverse Trig Functions on the Unit Circle

What are the domain and range of y = arcsin(x)

• domain [-1, 1] range [-2π, 2π]

• domain [-1, 1] range [0, π]

• domain [-1, 1] range [-π/2, π/2]

• domain [0,2π] range [-1, 1]

Tags

CCSS.HSF-BF.B.4D

What are the domain and range of y = arccos(x)

• domain [-1, 1] range [-2π, 2π]

• domain [-1, 1] range [0, π]

• domain [-1, 1] range [-π/2, π/2]

• domain [0, 2π] range [-1, 1]

Tags

CCSS.HSF-BF.B.4D

What are the domain and range of y = arctan(x)

• domain [-1, 1] range [-2π, 2π]

• domain (-∞, ∞) range [-π/2, π/2]

• domain [-1, 1] range (-π/2, π/2)

• domain (-∞, ∞) range (-π/2, π/2)

Tags

CCSS.HSF-BF.B.4D

arcsin(√3/2)

• π/3

• -π/3

• 2π/3

• π/3 and 2π/3

Tags

CCSS.HSF.TF.B.7

arccos(√3/2)

• π/6

• -π/6

• 11π/6

• π/6 and 11π/6

Tags

CCSS.HSF.TF.B.7

arccos(-1/2)

• π/3

• -5π/3

• 2π/3

• 2π/3 and 4π/3

Tags

CCSS.HSF.TF.B.7

arctan(-1)

• 3π/2

• π/4

• -π/4

• 3π/4 and 7π/4

Tags

CCSS.HSF.TF.B.7

arcsin(-√2/2)

• -π/4

• π/4

• 5π/4

• 5π/4 and 7π/4

Tags

CCSS.HSF.TF.B.7